Question
Download Solution PDFयदि किसी त्रिभुज के कोण 9 ∶ 11 ∶ 16 के अनुपात में हैं, तो सबसे बड़े कोण और सबसे छोटे कोण के बीच का अंतर है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
किसी त्रिभुज के कोण 9 ∶ 11 ∶ 16 के अनुपात में हैं।
प्रयुक्त सूत्र:
त्रिभुज के कोणों का योग = 180º
गणना:
माना कि कोण 9x, 11x और 16x हैं।
कोणों का योग = 9x + 11x + 16x = 180º
⇒ 36x = 180º
⇒ x = 5º
सबसे बड़ा कोण = 16x = 16 × 5º = 80º
सबसे छोटा कोण = 9x = 9 × 5º = 45º
सबसे बड़े कोण और सबसे छोटे कोण के बीच का अंतर = 80º - 45º = 35º
∴ सही उत्तर विकल्प 4 है।
Last updated on Jun 3, 2025
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